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QJEEM20Ma4bfa: JEE Main 2020 Mathematics - Class 11 JEEM20Ma4bfa Solution: Contrapositive of the statement : ‘If a function f is…

Contrapositive of the statement :
‘If a function f is differentiable at a, then it is also continuous at a’, is:

Multiple Choice Options

  • A If a function f is continuous at a, then it is not differentiable at a.
  • B If a function f is not continuous at a, then it is differentiable at a.
  • C If a function f is not continuous at a, then it is not differentiable at a.
  • D If a function f is continuous at a, then it is differentiable at a.

Step-by-Step Verified Solution

p = function is differentiable at a

q = function is continuous at a

Contrapositive of statements p → q is

∼q → ∼p

∴ Contrapositive statement is :

If a function f is not continuous at a, then it is not differentiable at a.

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